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Finding the Third Proportional to 13,923 and 20,911.50

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Solution

The third proportional to 13,923 and 20,911.50 is: 31,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923 : 20,911.50 = 20,911.50 : x
  2. Step 2: Convert to fraction form
    13,923/20,911.50 = 20,911.50/x
  3. Step 3: Cross multiply
    13,923x = 20,911.50 × 20,911.50
  4. Step 4: Simplify right side
    13,923x = 437,290,832.25
  5. Step 5: Solve for x
    x = 437,290,832.25/13,923
  6. Step 6: Final answer
    x = 31,407.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.